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Finding the Fourth Proportional to 35,875.96, 53,813.96 and 12,486

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Solution

The fourth proportional to 35,875.96, 53,813.96 and 12,486 is: 18,729.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,875.96 : 53,813.96 = 12,486 : x
  2. Step 2: Convert to fraction form
    35,875.96/53,813.96 = 12,486/x
  3. Step 3: Cross multiply
    35,875.96x = 53,813.96 × 12,486
  4. Step 4: Simplify right side
    35,875.96x = 671,921,104.56
  5. Step 5: Solve for x
    x = 671,921,104.56/35,875.96
  6. Step 6: Final answer
    x = 18,729.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.